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Finding the Fourth Proportional to 334,419.60, 501,629.40 and 156,944.55

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Solution

The fourth proportional to 334,419.60, 501,629.40 and 156,944.55 is: 235,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,419.60 : 501,629.40 = 156,944.55 : x
  2. Step 2: Convert to fraction form
    334,419.60/501,629.40 = 156,944.55/x
  3. Step 3: Cross multiply
    334,419.60x = 501,629.40 × 156,944.55
  4. Step 4: Simplify right side
    334,419.60x = 78,728,000,449.77
  5. Step 5: Solve for x
    x = 78,728,000,449.77/334,419.60
  6. Step 6: Final answer
    x = 235,416.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.